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The five numbers 4, 9, 15, 20, and 27 are placed in the boxes below to make a true statement. What is the sum of the numbers placed in the boxes in the numerators on the left-hand side:

$$$\frac{\boxed{\phantom{99}}}{\boxed{\phantom{99}}} + \frac{\boxed{\phantom{99}}}{\boxed{\phantom{99}}} = \frac{9}{\boxed{\phantom{99}}}.$$$

May 10, 2022

#1
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Can anyone see an easy way to do this?

May 10, 2022
#2
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27/15 + 9/20 ==9 / 4

27 + 9 ==36 - sum of numerators in the LHS.

May 10, 2022
#3
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Thanks

Did you have a logical method or was it just trial and error?

Maybe you just had a computer check all the combinations for you?

Melody  May 10, 2022
#4
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Just a simple computer code in C++ and finds it in a flash.

Guest May 11, 2022
#5
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I thought you probably did that.

I am sure there must be a way to nut it out logically with minimal trial and error attempts.

But i expect using C++ is fun and effective :)

Melody  May 11, 2022